Stability of Couette flow for 2D Boussinesq system in a uniform magnetic field with vertical dissipation

Dongfen Bian; Shouyi Dai; Jingjing Mao

doi:10.1016/j.aml.2021.107415

Stability of Couette flow for 2D Boussinesq system in a uniform magnetic field with vertical dissipation

Dongfen Bian^*, Shouyi Dai, Jingjing Mao

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

In this paper, we establish the nonlinear stability of Couette flow in a uniform magnetic field for the Boussinesq equations with magnetohydrodynamics convection in the domain T×R with only vertical dissipation. This extends the result for full dissipation case in the reference Bian et al. (2020) to partial dissipation case and the result for Boussinesq system in the reference Deng et al. (2020) to the full system in the presence of the magnetic field.

Original language	English
Article number	107415
Journal	Applied Mathematics Letters
Volume	121
DOIs	https://doi.org/10.1016/j.aml.2021.107415
Publication status	Published - Nov 2021

Keywords

Boussinesq-MHD system
Couette flow
Stability
Vertical dissipation

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10.1016/j.aml.2021.107415

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title = "Stability of Couette flow for 2D Boussinesq system in a uniform magnetic field with vertical dissipation",

abstract = "In this paper, we establish the nonlinear stability of Couette flow in a uniform magnetic field for the Boussinesq equations with magnetohydrodynamics convection in the domain T×R with only vertical dissipation. This extends the result for full dissipation case in the reference Bian et al. (2020) to partial dissipation case and the result for Boussinesq system in the reference Deng et al. (2020) to the full system in the presence of the magnetic field.",

keywords = "Boussinesq-MHD system, Couette flow, Stability, Vertical dissipation",

author = "Dongfen Bian and Shouyi Dai and Jingjing Mao",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Ltd",

year = "2021",

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doi = "10.1016/j.aml.2021.107415",

language = "English",

volume = "121",

journal = "Applied Mathematics Letters",

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T1 - Stability of Couette flow for 2D Boussinesq system in a uniform magnetic field with vertical dissipation

AU - Bian, Dongfen

AU - Dai, Shouyi

AU - Mao, Jingjing

PY - 2021/11

Y1 - 2021/11

N2 - In this paper, we establish the nonlinear stability of Couette flow in a uniform magnetic field for the Boussinesq equations with magnetohydrodynamics convection in the domain T×R with only vertical dissipation. This extends the result for full dissipation case in the reference Bian et al. (2020) to partial dissipation case and the result for Boussinesq system in the reference Deng et al. (2020) to the full system in the presence of the magnetic field.

AB - In this paper, we establish the nonlinear stability of Couette flow in a uniform magnetic field for the Boussinesq equations with magnetohydrodynamics convection in the domain T×R with only vertical dissipation. This extends the result for full dissipation case in the reference Bian et al. (2020) to partial dissipation case and the result for Boussinesq system in the reference Deng et al. (2020) to the full system in the presence of the magnetic field.

KW - Boussinesq-MHD system

KW - Couette flow

KW - Stability

KW - Vertical dissipation

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U2 - 10.1016/j.aml.2021.107415

DO - 10.1016/j.aml.2021.107415

M3 - Article

AN - SCOPUS:85106631501

SN - 0893-9659

VL - 121

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 107415

ER -

Stability of Couette flow for 2D Boussinesq system in a uniform magnetic field with vertical dissipation

Abstract

Keywords

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